Do you think grandparents have special rights to their grandchildren?

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I'm having some trouble with both my father and my mil in regards to my future child. My dad has been proven to be untrustworthy when it comes to following my sisters wishes when it comes to her children so I have told him he is not allowed to see my future child unsupervised. 
My mother in law wants to make all kinds of decisions like what my future child eats and what religion they follow once they are older since my beliefs don't match hers. 
Obviously I have the right to tell them no but if you were in a similar situation would you take their wishes into consideration? Do you believe grandparents have a say in how their grandchildren are raised? 

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